Best-known CA bounds for t=5, v=16

kNArrayMethod / Source
171048576orthogonal array
181419855orthogonal array fuse
2020930563-Restricted SCPHF RE (CL)
212097151CPHFIPO
3330801764-Restricted SCPHF RE (CL)
3631416163-Restricted SCPHF RE (CL)
3831454562-Restricted SCPHF RE (CL)
393145726CPHFIPO
5340632164,4-Restricted SCPHF RE (CL)
5641287364-Restricted SCPHF RE (CL)
6241860963,3-Restricted SCPHF RE (CL)
6441901763-Restricted SCPHF RE (CL)
664194256SCPHF Random Extension (CLS)
734194301CPHFIPO
9251117764,4-Restricted SCPHF RE (CL)
10351772964-Restricted SCPHF RE (CL)
11152387363-Restricted SCPHF RE (CL)
11952425762-Restricted SCPHF RE (CL)
1455242876CPHFIPO
14660948164,4,4-Restricted SCPHF RE (CL)
16561603364,4-Restricted SCPHF RE (CL)
18562258564-Restricted SCPHF RE (CL)
19762872963-Restricted SCPHF RE (CL)
20662911362-Restricted SCPHF RE (CL)
2076291376SCPHF Random Extension (CLS)
2106291451CPHF Random Extension (CLS)
24871433764,4,4-Restricted SCPHF RE (CL)
28472088964,4-Restricted SCPHF RE (CL)
33672744164-Restricted SCPHF RE (CL)
36073358563-Restricted SCPHF RE (CL)
37673396962-Restricted SCPHF RE (CL)
3797339936SCPHF Random Extension (CLS)
45481919364,4,4-Restricted SCPHF RE (CL)
51582574564,4-Restricted SCPHF RE (CL)
58283229764-Restricted SCPHF RE (CL)
64183844163-Restricted SCPHF RE (CL)
65083882562-Restricted SCPHF RE (CL)
6568388496SCPHF Random Extension (CLS)
76692404964,4,4-Restricted SCPHF RE (CL)
76713103536Add 1 factors
76815906736Add 2 factors
76916889776Add 3 factors
78217872816Add 16 factors
78319588192Add 17 factors
838198018133-Restricted SCPHF RE (CL) fuse fuse fuse
851198083112-Restricted SCPHF RE (CL) fuse fuse fuse
85223671351Add 1 factors
87124968925perfect hash family3,871,582
90125091805perfect hash family3,960,641T59
90525099485perfect hash family3,972,649T67
90825099965perfect hash family3,981,655T73
96025153245perfect hash family3,960,641
96425160925perfect hash family3,972,649T8
96725161405perfect hash family3,981,655T14
97325164765perfect hash family3,973,650
97625165245perfect hash family3,981,655T5
98225165485perfect hash family3,982,656
102226865405perfect hash family3,1146,765T124
103126869245perfect hash family3,1146,765T115
103726869485perfect hash family3,1146,765T109
114727721485perfect hash family3,1147,766
115631381590Power N-CT37^2Arc(2)T4
118831385430Power N-CT37^2T4T1
122131389270Power N-CT37^2T4
122731439190Power N-CT37^2Arc(4)
126131443030Power N-CT37^2Arc(3)
129631446870Power N-CT37^2T1T1
133231450710Power N-CT37^2T1
137031454550Power N-CT37^2+1
137131457250Power N-CT37^2+2
142032362140perfect hash family4,3125,625T341
168032427660perfect hash family4,3125,625T289
180032489100perfect hash family4,3125,625T265
188032492940perfect hash family4,3125,625T249
189532493180perfect hash family4,3125,625T246
227033345180perfect hash family4,3125,625T171
257533410700perfect hash family4,3125,625T110
291033476220perfect hash family4,3125,625T43
312533537660perfect hash family4,3125,625
323337551975Power N-CT61^2T8
324237609365Power N-CT67^2Trin3,3,14
328637609410Power N-CT67^2T14T5
334237613445Power N-CT67^2Trin1,3,14
339237613490Power N-CT67^2T14T3
339537617480Power N-CT67^2Arc(3)T14
341637617495Power N-CT61^2T5
344637617525Power N-CT67^2Arc(2)T14
349837617570Power N-CT67^2T14T1
386937617615Power N-CT73^2T20
408837683135Power N-CT73^2T17
409637740450Power N-CT67^2T3T3
452637740495Power N-CT73^2T11
467237744575Power N-CT73^2T9
481837748655Power N-CT73^2T7
532937748700Power N-CT73^2
533043177740Add 1 factors
551845080295Power N-CT89^2T27
569645084375Power N-CT89^2T25
587445088455Power N-CT89^2T23
649745088500Power N-CT89^2T16
671645547140Power N-CT97^2T24T5
679845612615perfect hash family9,10609,103T37
751945612660perfect hash family9,10609,103T30
792446005975Power N-CT89^2+3
795746104180perfect hash family9,11881,109T36
824946134900perfect hash family9,12769,113T40
873246137300perfect hash family9,14986,126T53
947646530135perfect hash family9,10609,103T11
1000046595655Power N-CT101^2

Checkmark key: ✓ array available (verified) · ✓ array available (unverified)